Pandas Profiling Report

Dataset statistics

Number of variables	18
Number of observations	5000
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	703.2 KiB
Average record size in memory	144.0 B

Variable types

Boolean	3
Numeric	15

Alerts

`numbervmailmessages` is highly overall correlated with `voicemailplan`	High correlation
`totaldayminutes` is highly overall correlated with `totaldaycharge`	High correlation
`totaldaycharge` is highly overall correlated with `totaldayminutes`	High correlation
`totaleveminutes` is highly overall correlated with `totalevecharge`	High correlation
`totalevecharge` is highly overall correlated with `totaleveminutes`	High correlation
`totalnightminutes` is highly overall correlated with `totalnightcharge`	High correlation
`totalnightcharge` is highly overall correlated with `totalnightminutes`	High correlation
`totalintlminutes` is highly overall correlated with `totalintlcharge`	High correlation
`totalintlcharge` is highly overall correlated with `totalintlminutes`	High correlation
`voicemailplan` is highly overall correlated with `numbervmailmessages`	High correlation
`internationalplan` is highly imbalanced (54.8%)	Imbalance
`numbervmailmessages` has 3678 (73.6%) zeros	Zeros
`numbercustomerservicecalls` has 1023 (20.5%) zeros	Zeros

Reproduction

Analysis started	2023-03-25 04:05:54.079049
Analysis finished	2023-03-25 04:06:38.811364
Duration	44.73 seconds
Software version	pandas-profiling v3.6.6
Download configuration	config.json

churn
Boolean

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	5.0 KiB

False	4293
True	707

Common Values (Table)
Common Values (Plot)

Value	Count	Frequency (%)
False	4293	85.9%
True	707	14.1%

accountlength
Real number (ℝ)

Distinct	218
Distinct (%)	4.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	100.2586

Minimum	1
Maximum	243
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	1
5-th percentile	35
Q1	73
median	100
Q3	127
95-th percentile	167
Maximum	243
Range	242
Interquartile range (IQR)	54

Descriptive statistics

Standard deviation	39.69456
Coefficient of variation (CV)	0.39592174
Kurtosis	-0.10162108
Mean	100.2586
Median Absolute Deviation (MAD)	27
Skewness	0.10929112
Sum	501293
Variance	1575.6581
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
90	65	1.3%
87	59	1.2%
105	57	1.1%
93	57	1.1%
112	56	1.1%
101	55	1.1%
100	55	1.1%
86	55	1.1%
116	54	1.1%
103	54	1.1%
Other values (208)	4433	88.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	11	0.2%
2	2	< 0.1%
3	8	0.2%
4	3	0.1%
5	2	< 0.1%
6	2	< 0.1%
7	5	0.1%
8	2	< 0.1%
9	3	0.1%
10	3	0.1%

Value	Count	Frequency (%)
243	1	< 0.1%
238	1	< 0.1%
233	1	< 0.1%
232	2	< 0.1%
225	2	< 0.1%
224	2	< 0.1%
222	2	< 0.1%
221	1	< 0.1%
217	3	0.1%
216	1	< 0.1%

internationalplan
Boolean

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	5.0 KiB

False	4527
True	473

Common Values (Table)
Common Values (Plot)

Value	Count	Frequency (%)
False	4527	90.5%
True	473	9.5%

voicemailplan
Boolean

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	5.0 KiB

False	3677
True	1323

Common Values (Table)
Common Values (Plot)

Value	Count	Frequency (%)
False	3677	73.5%
True	1323	26.5%

numbervmailmessages
Real number (ℝ)

HIGH CORRELATION ZEROS

Distinct	48
Distinct (%)	1.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	7.7552

Minimum	0
Maximum	52
Zeros	3678
Zeros (%)	73.6%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	17
95-th percentile	37
Maximum	52
Range	52
Interquartile range (IQR)	17

Descriptive statistics

Standard deviation	13.546393
Coefficient of variation (CV)	1.7467497
Kurtosis	0.19912718
Mean	7.7552
Median Absolute Deviation (MAD)	0
Skewness	1.3504932
Sum	38776
Variance	183.50477
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=48)

Value	Count	Frequency (%)
0	3678	73.6%
31	83	1.7%
28	67	1.3%
29	67	1.3%
33	66	1.3%
24	64	1.3%
27	64	1.3%
30	58	1.2%
26	58	1.2%
32	57	1.1%
Other values (38)	738	14.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	3678	73.6%
4	1	< 0.1%
6	2	< 0.1%
8	2	< 0.1%
9	2	< 0.1%
10	4	0.1%
11	2	< 0.1%
12	11	0.2%
13	4	0.1%
14	9	0.2%

Value	Count	Frequency (%)
52	1	< 0.1%
51	1	< 0.1%
50	2	< 0.1%
49	3	0.1%
48	5	0.1%
47	4	0.1%
46	8	0.2%
45	11	0.2%
44	9	0.2%
43	16	0.3%

totaldayminutes
Real number (ℝ)

Distinct	1961
Distinct (%)	39.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	180.2889

Minimum	0
Maximum	351.5
Zeros	2
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	91.7
Q1	143.7
median	180.1
Q3	216.2
95-th percentile	271.105
Maximum	351.5
Range	351.5
Interquartile range (IQR)	72.5

Descriptive statistics

Standard deviation	53.894699
Coefficient of variation (CV)	0.2989352
Kurtosis	-0.021294471
Mean	180.2889
Median Absolute Deviation (MAD)	36.3
Skewness	-0.011730827
Sum	901444.5
Variance	2904.6386
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
189.3	10	0.2%
154	10	0.2%
159.5	9	0.2%
180	9	0.2%
184.5	9	0.2%
174.5	9	0.2%
177.1	9	0.2%
183.4	8	0.2%
189.8	8	0.2%
215.6	8	0.2%
Other values (1951)	4911	98.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	2	< 0.1%
2.6	1	< 0.1%
6.6	1	< 0.1%
7.2	1	< 0.1%
7.8	1	< 0.1%
7.9	1	< 0.1%
12.5	1	< 0.1%
17.6	1	< 0.1%
18.9	1	< 0.1%
19.5	1	< 0.1%

Value	Count	Frequency (%)
351.5	1	< 0.1%
350.8	1	< 0.1%
346.8	1	< 0.1%
345.3	1	< 0.1%
338.4	1	< 0.1%
337.4	1	< 0.1%
335.5	1	< 0.1%
334.3	1	< 0.1%
332.9	1	< 0.1%
332.1	1	< 0.1%

totaldaycalls
Real number (ℝ)

Distinct	123
Distinct (%)	2.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	100.0294

Minimum	0
Maximum	165
Zeros	2
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	113
95-th percentile	133
Maximum	165
Range	165
Interquartile range (IQR)	26

Descriptive statistics

Standard deviation	19.831197
Coefficient of variation (CV)	0.19825369
Kurtosis	0.17856779
Mean	100.0294
Median Absolute Deviation (MAD)	13
Skewness	-0.084890964
Sum	500147
Variance	393.27639
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
105	117	2.3%
102	113	2.3%
95	108	2.2%
94	104	2.1%
97	104	2.1%
100	102	2.0%
110	101	2.0%
112	101	2.0%
92	100	2.0%
108	100	2.0%
Other values (113)	3950	79.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	2	< 0.1%
30	1	< 0.1%
34	1	< 0.1%
35	1	< 0.1%
36	1	< 0.1%
39	2	< 0.1%
40	2	< 0.1%
42	2	< 0.1%
44	4	0.1%
45	3	0.1%

Value	Count	Frequency (%)
165	1	< 0.1%
163	1	< 0.1%
160	2	< 0.1%
158	3	0.1%
157	2	< 0.1%
156	3	0.1%
152	2	< 0.1%
151	7	0.1%
150	6	0.1%
149	2	< 0.1%

totaldaycharge
Real number (ℝ)

Distinct	1961
Distinct (%)	39.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	30.649668

Minimum	0
Maximum	59.76
Zeros	2
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	15.59
Q1	24.43
median	30.62
Q3	36.75
95-th percentile	46.0905
Maximum	59.76
Range	59.76
Interquartile range (IQR)	12.32

Descriptive statistics

Standard deviation	9.1620687
Coefficient of variation (CV)	0.29892881
Kurtosis	-0.021165925
Mean	30.649668
Median Absolute Deviation (MAD)	6.17
Skewness	-0.011729007
Sum	153248.34
Variance	83.943503
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
32.18	10	0.2%
26.18	10	0.2%
27.12	9	0.2%
30.6	9	0.2%
31.37	9	0.2%
29.67	9	0.2%
30.11	9	0.2%
31.18	8	0.2%
32.27	8	0.2%
36.65	8	0.2%
Other values (1951)	4911	98.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	2	< 0.1%
0.44	1	< 0.1%
1.12	1	< 0.1%
1.22	1	< 0.1%
1.33	1	< 0.1%
1.34	1	< 0.1%
2.13	1	< 0.1%
2.99	1	< 0.1%
3.21	1	< 0.1%
3.32	1	< 0.1%

Value	Count	Frequency (%)
59.76	1	< 0.1%
59.64	1	< 0.1%
58.96	1	< 0.1%
58.7	1	< 0.1%
57.53	1	< 0.1%
57.36	1	< 0.1%
57.04	1	< 0.1%
56.83	1	< 0.1%
56.59	1	< 0.1%
56.46	1	< 0.1%

totaleveminutes
Real number (ℝ)

Distinct	1879
Distinct (%)	37.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	200.63656

Minimum	0
Maximum	363.7
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	118.495
Q1	166.375
median	201
Q3	234.1
95-th percentile	283.72
Maximum	363.7
Range	363.7
Interquartile range (IQR)	67.725

Descriptive statistics

Standard deviation	50.551309
Coefficient of variation (CV)	0.25195462
Kurtosis	0.051375131
Mean	200.63656
Median Absolute Deviation (MAD)	34
Skewness	-0.011017695
Sum	1003182.8
Variance	2555.4348
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
169.9	10	0.2%
199.7	10	0.2%
230.9	10	0.2%
167.6	9	0.2%
210.6	9	0.2%
216.5	9	0.2%
188.8	9	0.2%
187.5	9	0.2%
223.5	9	0.2%
194	9	0.2%
Other values (1869)	4907	98.1%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
22.3	1	< 0.1%
31.2	1	< 0.1%
37.8	1	< 0.1%
41.7	1	< 0.1%
42.2	1	< 0.1%
42.5	1	< 0.1%
43.9	1	< 0.1%
47.3	2	< 0.1%
48.1	1	< 0.1%

Value	Count	Frequency (%)
363.7	1	< 0.1%
361.8	1	< 0.1%
359.3	1	< 0.1%
354.2	1	< 0.1%
352.1	1	< 0.1%
351.6	1	< 0.1%
350.9	1	< 0.1%
350.5	1	< 0.1%
349.4	1	< 0.1%
348.9	1	< 0.1%

totalevecalls
Real number (ℝ)

Distinct	126
Distinct (%)	2.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	100.191

Minimum	0
Maximum	170
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	114
95-th percentile	133
Maximum	170
Range	170
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	19.826496
Coefficient of variation (CV)	0.19788699
Kurtosis	0.1173634
Mean	100.191
Median Absolute Deviation (MAD)	13
Skewness	-0.020175203
Sum	500955
Variance	393.08994
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
105	115	2.3%
97	110	2.2%
91	110	2.2%
94	106	2.1%
103	106	2.1%
101	104	2.1%
96	100	2.0%
104	100	2.0%
102	99	2.0%
98	99	2.0%
Other values (116)	3951	79.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
12	1	< 0.1%
36	1	< 0.1%
37	1	< 0.1%
38	1	< 0.1%
42	1	< 0.1%
43	1	< 0.1%
44	2	< 0.1%
45	1	< 0.1%
46	5	0.1%

Value	Count	Frequency (%)
170	1	< 0.1%
169	1	< 0.1%
168	1	< 0.1%
164	1	< 0.1%
159	1	< 0.1%
157	1	< 0.1%
156	1	< 0.1%
155	5	0.1%
154	4	0.1%
153	1	< 0.1%

totalevecharge
Real number (ℝ)

Distinct	1659
Distinct (%)	33.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	17.054322

Minimum	0
Maximum	30.91
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	10.0695
Q1	14.14
median	17.09
Q3	19.9
95-th percentile	24.112
Maximum	30.91
Range	30.91
Interquartile range (IQR)	5.76

Descriptive statistics

Standard deviation	4.2968433
Coefficient of variation (CV)	0.2519504
Kurtosis	0.051288785
Mean	17.054322
Median Absolute Deviation (MAD)	2.89
Skewness	-0.010990328
Sum	85271.61
Variance	18.462862
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
15.9	15	0.3%
14.25	15	0.3%
16.12	14	0.3%
18.79	13	0.3%
16.97	13	0.3%
18.96	13	0.3%
19.41	12	0.2%
17.09	11	0.2%
16.8	11	0.2%
18.62	11	0.2%
Other values (1649)	4872	97.4%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
1.9	1	< 0.1%
2.65	1	< 0.1%
3.21	1	< 0.1%
3.54	1	< 0.1%
3.59	1	< 0.1%
3.61	1	< 0.1%
3.73	1	< 0.1%
4.02	2	< 0.1%
4.09	1	< 0.1%

Value	Count	Frequency (%)
30.91	1	< 0.1%
30.75	1	< 0.1%
30.54	1	< 0.1%
30.11	1	< 0.1%
29.93	1	< 0.1%
29.89	1	< 0.1%
29.83	1	< 0.1%
29.79	1	< 0.1%
29.7	1	< 0.1%
29.66	1	< 0.1%

totalnightminutes
Real number (ℝ)

Distinct	1853
Distinct (%)	37.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	200.39162

Minimum	0
Maximum	395
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	117.395
Q1	166.9
median	200.4
Q3	234.7
95-th percentile	283.405
Maximum	395
Range	395
Interquartile range (IQR)	67.8

Descriptive statistics

Standard deviation	50.527789
Coefficient of variation (CV)	0.25214522
Kurtosis	0.082359197
Mean	200.39162
Median Absolute Deviation (MAD)	33.8
Skewness	0.019324917
Sum	1001958.1
Variance	2553.0575
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
188.2	11	0.2%
194.3	11	0.2%
186.2	11	0.2%
214.6	10	0.2%
208.9	10	0.2%
228.1	10	0.2%
210	9	0.2%
192.7	9	0.2%
193.6	9	0.2%
214.7	9	0.2%
Other values (1843)	4901	98.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
23.2	1	< 0.1%
43.7	1	< 0.1%
45	1	< 0.1%
46.7	1	< 0.1%
47.4	1	< 0.1%
50.1	2	< 0.1%
50.9	1	< 0.1%
53.3	1	< 0.1%
54	1	< 0.1%

Value	Count	Frequency (%)
395	1	< 0.1%
381.9	1	< 0.1%
381.6	1	< 0.1%
377.5	1	< 0.1%
367.7	1	< 0.1%
364.9	1	< 0.1%
364.3	1	< 0.1%
359.9	1	< 0.1%
355.1	1	< 0.1%
354.9	1	< 0.1%

totalnightcalls
Real number (ℝ)

Distinct	131
Distinct (%)	2.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	99.9192

Minimum	0
Maximum	175
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	113
95-th percentile	132
Maximum	175
Range	175
Interquartile range (IQR)	26

Descriptive statistics

Standard deviation	19.958686
Coefficient of variation (CV)	0.19974826
Kurtosis	0.14443808
Mean	99.9192
Median Absolute Deviation (MAD)	13
Skewness	0.0021328427
Sum	499596
Variance	398.34914
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
105	121	2.4%
102	109	2.2%
100	108	2.2%
104	106	2.1%
99	105	2.1%
103	104	2.1%
91	103	2.1%
94	103	2.1%
95	102	2.0%
98	102	2.0%
Other values (121)	3937	78.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
12	1	< 0.1%
33	1	< 0.1%
36	1	< 0.1%
38	2	< 0.1%
40	1	< 0.1%
41	1	< 0.1%
42	4	0.1%
43	1	< 0.1%
44	1	< 0.1%

Value	Count	Frequency (%)
175	1	< 0.1%
170	1	< 0.1%
168	1	< 0.1%
166	1	< 0.1%
165	1	< 0.1%
164	1	< 0.1%
161	1	< 0.1%
160	1	< 0.1%
159	2	< 0.1%
158	2	< 0.1%

totalnightcharge
Real number (ℝ)

Distinct	1028
Distinct (%)	20.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	9.017732

Minimum	0
Maximum	17.77
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	5.28
Q1	7.51
median	9.02
Q3	10.56
95-th percentile	12.7505
Maximum	17.77
Range	17.77
Interquartile range (IQR)	3.05

Descriptive statistics

Standard deviation	2.2737627
Coefficient of variation (CV)	0.25214352
Kurtosis	0.082377615
Mean	9.017732
Median Absolute Deviation (MAD)	1.52
Skewness	0.019286744
Sum	45088.66
Variance	5.1699966
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.66	19	0.4%
8.47	19	0.4%
10.8	18	0.4%
9.63	18	0.4%
8.15	18	0.4%
9.4	18	0.4%
10.26	18	0.4%
9.45	17	0.3%
10.49	17	0.3%
10.35	16	0.3%
Other values (1018)	4822	96.4%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
1.04	1	< 0.1%
1.97	1	< 0.1%
2.03	1	< 0.1%
2.1	1	< 0.1%
2.13	1	< 0.1%
2.25	2	< 0.1%
2.29	1	< 0.1%
2.4	1	< 0.1%
2.43	1	< 0.1%

Value	Count	Frequency (%)
17.77	1	< 0.1%
17.19	1	< 0.1%
17.17	1	< 0.1%
16.99	1	< 0.1%
16.55	1	< 0.1%
16.42	1	< 0.1%
16.39	1	< 0.1%
16.2	1	< 0.1%
15.98	1	< 0.1%
15.97	1	< 0.1%

totalintlminutes
Real number (ℝ)

Distinct	170
Distinct (%)	3.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	10.26178

Minimum	0
Maximum	20
Zeros	24
Zeros (%)	0.5%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	5.7
Q1	8.5
median	10.3
Q3	12
95-th percentile	14.7
Maximum	20
Range	20
Interquartile range (IQR)	3.5

Descriptive statistics

Standard deviation	2.7613957
Coefficient of variation (CV)	0.2690952
Kurtosis	0.65531661
Mean	10.26178
Median Absolute Deviation (MAD)	1.8
Skewness	-0.20996629
Sum	51308.9
Variance	7.6253063
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
11.1	90	1.8%
9.8	88	1.8%
11.3	83	1.7%
11.4	81	1.6%
10.1	81	1.6%
10.9	80	1.6%
9.7	79	1.6%
10.6	78	1.6%
11	78	1.6%
10.5	78	1.6%
Other values (160)	4184	83.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	24	0.5%
0.4	1	< 0.1%
1.1	2	< 0.1%
1.3	1	< 0.1%
2	3	0.1%
2.1	2	< 0.1%
2.2	2	< 0.1%
2.4	1	< 0.1%
2.5	1	< 0.1%
2.6	1	< 0.1%

Value	Count	Frequency (%)
20	1	< 0.1%
19.7	2	< 0.1%
19.3	1	< 0.1%
19.2	1	< 0.1%
18.9	2	< 0.1%
18.7	1	< 0.1%
18.5	1	< 0.1%
18.4	1	< 0.1%
18.3	1	< 0.1%
18.2	2	< 0.1%

totalintlcalls
Real number (ℝ)

Distinct	21
Distinct (%)	0.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	4.4352

Minimum	0
Maximum	20
Zeros	24
Zeros (%)	0.5%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	1
Q1	3
median	4
Q3	6
95-th percentile	9
Maximum	20
Range	20
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	2.4567882
Coefficient of variation (CV)	0.55392951
Kurtosis	3.2681836
Mean	4.4352
Median Absolute Deviation (MAD)	1
Skewness	1.3606925
Sum	22176
Variance	6.0358081
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=21)

Value	Count	Frequency (%)
3	992	19.8%
4	953	19.1%
2	743	14.9%
5	706	14.1%
6	495	9.9%
7	308	6.2%
1	265	5.3%
8	172	3.4%
9	148	3.0%
10	76	1.5%
Other values (11)	142	2.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	24	0.5%
1	265	5.3%
2	743	14.9%
3	992	19.8%
4	953	19.1%
5	706	14.1%
6	495	9.9%
7	308	6.2%
8	172	3.4%
9	148	3.0%

Value	Count	Frequency (%)
20	1	< 0.1%
19	2	< 0.1%
18	4	0.1%
17	2	< 0.1%
16	7	0.1%
15	9	0.2%
14	6	0.1%
13	19	0.4%
12	23	0.5%
11	45	0.9%

totalintlcharge
Real number (ℝ)

Distinct	170
Distinct (%)	3.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	2.771196

Minimum	0
Maximum	5.4
Zeros	24
Zeros (%)	0.5%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	1.54
Q1	2.3
median	2.78
Q3	3.24
95-th percentile	3.97
Maximum	5.4
Range	5.4
Interquartile range (IQR)	0.94

Descriptive statistics

Standard deviation	0.74551371
Coefficient of variation (CV)	0.26902237
Kurtosis	0.65598855
Mean	2.771196
Median Absolute Deviation (MAD)	0.48
Skewness	-0.21028611
Sum	13855.98
Variance	0.55579069
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
3	90	1.8%
2.65	88	1.8%
3.05	83	1.7%
3.08	81	1.6%
2.73	81	1.6%
2.94	80	1.6%
2.62	79	1.6%
2.86	78	1.6%
2.97	78	1.6%
2.84	78	1.6%
Other values (160)	4184	83.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	24	0.5%
0.11	1	< 0.1%
0.3	2	< 0.1%
0.35	1	< 0.1%
0.54	3	0.1%
0.57	2	< 0.1%
0.59	2	< 0.1%
0.65	1	< 0.1%
0.68	1	< 0.1%
0.7	1	< 0.1%

Value	Count	Frequency (%)
5.4	1	< 0.1%
5.32	2	< 0.1%
5.21	1	< 0.1%
5.18	1	< 0.1%
5.1	2	< 0.1%
5.05	1	< 0.1%
5	1	< 0.1%
4.97	1	< 0.1%
4.94	1	< 0.1%
4.91	2	< 0.1%

numbercustomerservicecalls
Real number (ℝ)

Distinct	10
Distinct (%)	0.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	1.5704

Minimum	0
Maximum	9
Zeros	1023
Zeros (%)	20.5%
Negative	0
Negative (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	1
median	1
Q3	2
95-th percentile	4
Maximum	9
Range	9
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	1.3063633
Coefficient of variation (CV)	0.83186662
Kurtosis	1.4810955
Mean	1.5704
Median Absolute Deviation (MAD)	1
Skewness	1.0424623
Sum	7852
Variance	1.7065852
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	1786	35.7%
2	1127	22.5%
0	1023	20.5%
3	665	13.3%
4	252	5.0%
5	96	1.9%
6	34	0.7%
7	13	0.3%
9	2	< 0.1%
8	2	< 0.1%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1023	20.5%
1	1786	35.7%
2	1127	22.5%
3	665	13.3%
4	252	5.0%
5	96	1.9%
6	34	0.7%
7	13	0.3%
8	2	< 0.1%
9	2	< 0.1%

Value	Count	Frequency (%)
9	2	< 0.1%
8	2	< 0.1%
7	13	0.3%
6	34	0.7%
5	96	1.9%
4	252	5.0%
3	665	13.3%
2	1127	22.5%
1	1786	35.7%
0	1023	20.5%

Auto

Heatmap
Table

	accountlength	numbervmailmessages	totaldayminutes	totaldaycalls	totaldaycharge	totaleveminutes	totalevecalls	totalevecharge	totalnightminutes	totalnightcalls	totalnightcharge	totalintlminutes	totalintlcalls	totalintlcharge	numbercustomerservicecalls	churn	internationalplan	voicemailplan
accountlength	1.000	-0.010	0.005	0.025	0.005	-0.012	0.008	-0.012	0.000	-0.006	0.000	0.006	0.018	0.006	-0.008	0.000	0.000	0.000
numbervmailmessages	-0.010	1.000	0.009	-0.004	0.009	0.024	-0.002	0.024	0.000	0.007	0.000	0.002	-0.010	0.002	-0.012	0.109	0.000	0.998
totaldayminutes	0.005	0.009	1.000	0.006	1.000	-0.011	0.008	-0.011	0.003	0.003	0.003	-0.023	-0.006	-0.023	-0.001	0.362	0.038	0.031
totaldaycalls	0.025	-0.004	0.006	1.000	0.006	0.002	0.011	0.002	0.003	-0.004	0.002	0.007	0.009	0.007	-0.014	0.027	0.000	0.000
totaldaycharge	0.005	0.009	1.000	0.006	1.000	-0.011	0.008	-0.011	0.003	0.003	0.003	-0.023	-0.006	-0.023	-0.001	0.362	0.038	0.032
totaleveminutes	-0.012	0.024	-0.011	0.002	-0.011	1.000	0.002	1.000	-0.016	0.014	-0.016	0.009	0.011	0.009	-0.018	0.083	0.000	0.037
totalevecalls	0.008	-0.002	0.008	0.011	0.008	0.002	1.000	0.002	0.008	-0.016	0.008	-0.011	0.006	-0.011	0.012	0.000	0.000	0.000
totalevecharge	-0.012	0.024	-0.011	0.002	-0.011	1.000	0.002	1.000	-0.016	0.014	-0.016	0.009	0.011	0.009	-0.018	0.083	0.000	0.038
totalnightminutes	0.000	0.000	0.003	0.003	0.003	-0.016	0.008	-0.016	1.000	0.017	1.000	-0.007	-0.013	-0.007	-0.015	0.037	0.046	0.010
totalnightcalls	-0.006	0.007	0.003	-0.004	0.003	0.014	-0.016	0.014	0.017	1.000	0.017	0.005	-0.000	0.005	-0.001	0.000	0.000	0.000
totalnightcharge	0.000	0.000	0.003	0.002	0.003	-0.016	0.008	-0.016	1.000	0.017	1.000	-0.007	-0.013	-0.007	-0.015	0.037	0.045	0.010
totalintlminutes	0.006	0.002	-0.023	0.007	-0.023	0.009	-0.011	0.009	-0.007	0.005	-0.007	1.000	0.006	1.000	-0.016	0.058	0.000	0.000
totalintlcalls	0.018	-0.010	-0.006	0.009	-0.006	0.011	0.006	0.011	-0.013	-0.000	-0.013	0.006	1.000	0.006	-0.011	0.079	0.000	0.000
totalintlcharge	0.006	0.002	-0.023	0.007	-0.023	0.009	-0.011	0.009	-0.007	0.005	-0.007	1.000	0.006	1.000	-0.016	0.058	0.000	0.000
numbercustomerservicecalls	-0.008	-0.012	-0.001	-0.014	-0.001	-0.018	0.012	-0.018	-0.015	-0.001	-0.015	-0.016	-0.011	-0.016	1.000	0.312	0.022	0.018
churn	0.000	0.109	0.362	0.027	0.362	0.083	0.000	0.083	0.037	0.000	0.037	0.058	0.079	0.058	0.312	1.000	0.258	0.109
internationalplan	0.000	0.000	0.038	0.000	0.038	0.000	0.000	0.000	0.046	0.000	0.045	0.000	0.000	0.000	0.022	0.258	1.000	0.000
voicemailplan	0.000	0.998	0.031	0.000	0.032	0.037	0.000	0.038	0.010	0.000	0.010	0.000	0.000	0.000	0.018	0.109	0.000	1.000

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows
Last rows

	churn	accountlength	internationalplan	voicemailplan	numbervmailmessages	totaldayminutes	totaldaycalls	totaldaycharge	totaleveminutes	totalevecalls	totalevecharge	totalnightminutes	totalnightcalls	totalnightcharge	totalintlminutes	totalintlcalls	totalintlcharge	numbercustomerservicecalls
0	No	128	no	yes	25	265.1	110	45.07	197.4	99	16.78	244.7	91	11.01	10.0	3	2.70	1
1	No	107	no	yes	26	161.6	123	27.47	195.5	103	16.62	254.4	103	11.45	13.7	3	3.70	1
2	No	137	no	no	0	243.4	114	41.38	121.2	110	10.30	162.6	104	7.32	12.2	5	3.29	0
3	No	84	yes	no	0	299.4	71	50.90	61.9	88	5.26	196.9	89	8.86	6.6	7	1.78	2
4	No	75	yes	no	0	166.7	113	28.34	148.3	122	12.61	186.9	121	8.41	10.1	3	2.73	3
5	No	118	yes	no	0	223.4	98	37.98	220.6	101	18.75	203.9	118	9.18	6.3	6	1.70	0
6	No	121	no	yes	24	218.2	88	37.09	348.5	108	29.62	212.6	118	9.57	7.5	7	2.03	3
7	No	147	yes	no	0	157.0	79	26.69	103.1	94	8.76	211.8	96	9.53	7.1	6	1.92	0
8	No	117	no	no	0	184.5	97	31.37	351.6	80	29.89	215.8	90	9.71	8.7	4	2.35	1
9	No	141	yes	yes	37	258.6	84	43.96	222.0	111	18.87	326.4	97	14.69	11.2	5	3.02	0

	churn	accountlength	internationalplan	voicemailplan	numbervmailmessages	totaldayminutes	totaldaycalls	totaldaycharge	totaleveminutes	totalevecalls	totalevecharge	totalnightminutes	totalnightcalls	totalnightcharge	totalintlminutes	totalintlcalls	totalintlcharge	numbercustomerservicecalls
4990	Yes	140	no	no	0	244.7	115	41.60	258.6	101	21.98	231.3	112	10.41	7.5	6	2.03	1
4991	Yes	97	no	no	0	252.6	89	42.94	340.3	91	28.93	256.5	67	11.54	8.8	5	2.38	1
4992	No	83	no	no	0	188.3	70	32.01	243.8	88	20.72	213.7	79	9.62	10.3	6	2.78	0
4993	No	73	no	no	0	177.9	89	30.24	131.2	82	11.15	186.2	89	8.38	11.5	6	3.11	3
4994	No	75	no	no	0	170.7	101	29.02	193.1	126	16.41	129.1	104	5.81	6.9	7	1.86	1
4995	No	50	no	yes	40	235.7	127	40.07	223.0	126	18.96	297.5	116	13.39	9.9	5	2.67	2
4996	Yes	152	no	no	0	184.2	90	31.31	256.8	73	21.83	213.6	113	9.61	14.7	2	3.97	3
4997	No	61	no	no	0	140.6	89	23.90	172.8	128	14.69	212.4	97	9.56	13.6	4	3.67	1
4998	No	109	no	no	0	188.8	67	32.10	171.7	92	14.59	224.4	89	10.10	8.5	6	2.30	0
4999	No	86	no	yes	34	129.4	102	22.00	267.1	104	22.70	154.8	100	6.97	9.3	16	2.51	0

Overview

Variables

Interactions

Correlations

Missing values

Sample